Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality
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- by Eleftherios N. Nikolidakis PDF
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Abstract:
We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov’s inequality. In fact we prove that they behave approximately like eigenfunctions of this operator for a specific eigenvalue. For this approach we use the one introduced in a paper by A. D. Melas and the author, where the respective Bellman function has been precisely evaluated.References
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Additional Information
- Eleftherios N. Nikolidakis
- Affiliation: Department of Mathematics, Panepistimiopolis, University of Ioannina, Ioannina 45110, Greece
- MR Author ID: 850477
- Email: enikolid@uoi.gr
- Received by editor(s): December 12, 2017
- Received by editor(s) in revised form: December 12, 2018
- Published electronically: May 31, 2019
- © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 6315-6342
- MSC (2010): Primary 42B25; Secondary 42B99
- DOI: https://doi.org/10.1090/tran/7843
- MathSciNet review: 4024523